14

Question 14 (17 points) Alexis is put in charge of recording times for a track meet at her high school. She notices that the total race time for a 100-meter dash can be considered the sum of two variables: the reaction time to the starting signal and the running time for the 100 meters. The scatterplot below shows reaction times and running times for 20 of her students in a certain race. The winner was the runner with the least total race time. 11.0T 10.8 10.6- 10.4 Running Time (seconds) 10.2 10.0- 9.8+ 9.64 9.4- 0.13 0.15 0.17 0.19 0.21 Reaction Time (seconds) A. Circle the point on the graph that represens the runner who won the race and approximate the total race time for that runner. B. Based on the graph, is it reasonable to assume that reaction time and running time are independent? Justify your answer. C. Based on the least-squares regression model created from the data, explain why the use of extrapolation to predict the running time for a unner whose reaction time is 0.3 seconds might not be appropriate